This is an extreme example, but she left the country, and even had plastic surgery but eventually was still caught because people need to interact with the normal economy to earn money and live. She took the bait of a yoga instructor job because she was presumably looking for "side-hustles" so as not to need to prove identity and raise suspicion but maintaining operational security over a long period of time is very difficult. If an investigator is determined enough eventually the target will inevitably slip up and be found out. To paraphrase the infamous IRA statement after the Brighton bombing, the investigator only has to be lucky once vs the target has to be lucky always[1].